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arXiv · 2609.37333

Tripartite System Dynamics of Cooperation Ecological Resources and Adaptive Regulation

Linjie Liu·Yike Li·Shijia Hua
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Abstract

To address commons dilemmas under costly social cooperation, this paper develops a tripartite coevolutionary system that integrates social behavior, ecological resource dynamics, and institutional regulation. Institutional intervention is modeled as an adaptive feedback mechanism whose intensity responds to deviations from prescribed cooperation and ecological targets. Through equilibrium analysis, stability analysis, and phase space characterization, we identify the principal operating regimes and transition mechanisms of the coupled system. The results show that the system admits a sustainable operating equilibrium in which cooperation, ecological resources, and institutional regulation coexist. We further establish the structural stability of a desirable operating state characterized by full cooperation, peak resource availability, and persistently minimal intervention. In addition to these stable regimes, the system exhibits bistability and limit cycles, indicating that alternative long term outcomes may arise from different initial conditions and parameter configurations. These nonlinear mechanisms generate a persistent crackdown rebound policy trap, in which intensified intervention temporarily improves cooperation and resource conditions but eventually produces recurrent oscillations and prevents system wide consensus. The proposed framework provides a system level explanation of governance failure and offers analytical insights for designing adaptive institutional regulation in coupled human environment systems.

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Linjie Liu, Yike Li, Shijia Hua. 2026-09-29. Tripartite System Dynamics of Cooperation Ecological Resources and Adaptive Regulation. https://arxiv.org/abs/2609.37333

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